Variance skill test
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Due DateJune 1, 2:59 AM EDT
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Due Jun 1, 2:59 AM EDT
What’s the variance of random variable that takes values from -3 to 3 with probabilities set by PMF:
| X | -3 | -2 | -1 | 0 | 1 | 2 | 3 |
|---|---|---|---|---|---|---|---|
| P | 1/14 | 1/7 | 1/7 | 2/7 | 2/7 | 0 | 1/14 |
Enter the irreducible fraction below (e.g., 13/28):
May there be a random variable X with EX=3 and E(X2)=8?
Variance of X may also be represented as
Find variance of the value on a fair dice rolled one time. Enter the irreducible fraction below (e.g., 13/28):
Two discrete random variables X and Y take values (0, 2, 5, 5, 7, 10, 11) and (3, 5, 8, 8, 10, 13, 14). All values have equal probability. How are their variances related? Try to use properties of variance to answer without precisely calculating the variances: